Tabellab
Investing & Personal Finance Advanced

Portfolio Optimisation by Hand: Covariance Tables, Two- and Three-Asset Mixes, Minimum-Variance Portfolios, the Efficient Frontier & the Tangency Portfolio

Find the mixes that give the most return for each level of risk. You will turn monthly returns into means, volatilities and a covariance table, trace every two-asset mix, solve the minimum-variance weight, search a three-asset weight grid, mark the efficient frontier, add a risk-free asset to find the tangency portfolio and test how fragile the answer is, with every cell checked as you go.

8 lessons 8 labs 2.3 h Certificate

One-time payment ยท lifetime access ยท lessons, labs, exam and certificate included ยท no subscription.

About this course

This course builds portfolio optimisation step by step in a spreadsheet, using a fictional savings club with three asset classes. You annualise monthly means and volatilities, write the covariance and correlation tables cell by cell with SUMPRODUCT, and trace every two-asset mix for three correlation values. You solve the minimum-variance weight in closed form and check it on a grid, calculate return and risk for three-asset weight triples, find the efficient frontier with MINIFS and COUNTIFS, pick the tangency portfolio by Sharpe ratio and test how a 60 % cap and changed estimates move the answer. All numbers are fictional and for learning only, not investment advice.

Lessons

  1. From Monthly Returns to Annual Means and VolatilitiesLab15 min Pro
  2. Covariance and Correlation Tables, Written Out Cell by CellLab17 min Pro
  3. Two-Asset Mixes: Return, Risk and the Effect of CorrelationLab17 min Pro
  4. The Minimum-Variance Mix: Closed Form and Grid CheckLab15 min Pro
  5. Three Assets: A Weight Grid, Nine Covariance Terms and Feasibility FlagsLab17 min Pro
  6. The Efficient Frontier: Return Bands, Lowest Risk per Band and Dominated MixesLab18 min Pro
  7. Adding a Risk-Free Asset: Sharpe Ratios, the Tangency Mix and the Capital Allocation LineLab18 min Pro
  8. Capstone: Weight Caps, Changed Estimates and How Fragile the Optimum IsLab20 min Pro